[sf.cmath.beta]

# 29 Numerics library [[numerics]](./#numerics)

## 29.7 Mathematical functions for floating-point types [[c.math]](c.math#sf.cmath.beta)

### 29.7.6 Mathematical special functions [[sf.cmath]](sf.cmath#beta)

#### 29.7.6.4 Beta function [sf.cmath.beta]

[🔗](#lib:beta)

`floating-point-type beta(floating-point-type x, floating-point-type y);
float        betaf(float x, float y);
long double  betal(long double x, long double y);
`

[1](#1)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10092)

*Effects*: These functions compute
the beta function
of their respective argumentsx and y[.](#1.sentence-1)

[2](#2)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10099)

*Returns*: B(x,y),
where B is given by Formula [29.24](#eq:sf.cmath.beta),x is x andy is y[.](#2.sentence-1)

B(x,y)=Γ(x)Γ(y)Γ(x+y) , for x>0, y>0(29.24)